34352326512 has 360 divisors, whose sum is σ = 115241280336. Its totient is φ = 9520422912.

The previous prime is 34352326487. The next prime is 34352326601. The reversal of 34352326512 is 21562325343.

34352326512 is a `hidden beast` number, since 34 + 352 + 3 + 265 + 12 = 666.

It is a super-2 number, since 2×34352326512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36274423 + ... + 36275369.

Almost surely, 2^34352326512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34352326512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620640168).

34352326512 is an abundant number, since it is smaller than the sum of its proper divisors (80888953824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34352326512 is a wasteful number, since it uses less digits than its factorization.

34352326512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1109 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 34352326512 in words is "thirty-four billion, three hundred fifty-two million, three hundred twenty-six thousand, five hundred twelve".